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Finding the Fourth Proportional to 846.28, 1,268.54 and 572.39

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Solution

The fourth proportional to 846.28, 1,268.54 and 572.39 is: 857.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    846.28 : 1,268.54 = 572.39 : x
  2. Step 2: Convert to fraction form
    846.28/1,268.54 = 572.39/x
  3. Step 3: Cross multiply
    846.28x = 1,268.54 × 572.39
  4. Step 4: Simplify right side
    846.28x = 726,099.61
  5. Step 5: Solve for x
    x = 726,099.61/846.28
  6. Step 6: Final answer
    x = 857.99

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.